Flashmic chords: Difference between revisions

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correction and improvement
This should have exhausted all possible forms of 33-odd-limit flashmic triads
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'''Flashmic chords''' are [[essentially tempered dyadic chord]]s tempered out by the flashma, [[12376/12375]], a comma associated with precise systems that model high-limit JI.
'''Flashmic chords''' are [[essentially tempered dyadic chord]]s tempered by the flashma, [[12376/12375]], a comma associated with precise systems that model high-limit JI.


Currently, a few flashmic chords are known:
As an enormously complex temperament, even the simplest flashmic chords are 33-odd-limit, and there are six pairs in inverse relationship:  


* 28/15 - 26/25 - 34/33, with tempering 15/14 ~= 26/25 * 34/33
* 1-28/15-33/17 with steps 28/15-26/25-34/33, and its inverse
* 15/14 - 25/17 - 33/26
* 1-28/15-25/13 with steps 28/15-34/33-26/25;
* 28/25 - 52/33 - 17/15
* 1-25/17-28/15 with steps 25/17-33/26-15/14, and its inverse
* 28/25 - 26/15 - 34/33
* 1-33/26-28/15 with steps 33/26-25/17-15/14;
* 33/28 - 15/13 - 25/17 (most evenly distributed)
* 1-28/25-30/17 with steps 28/25-52/33-17/15, and its inverse
* 56/33 - 26/25 - 17/15  
* 1-28/25-33/26 with steps 28/25-17/15-53/33;
* 1-28/25-33/17 with steps 28/25-26/15-34/33, and its inverse
* 1-28/25-15/13 with steps 28/25-34/33-26/15;
* 1-33/28-34/25 with steps 33/28-15/13-25/17, and its inverse
* 1-33/28-26/15 with steps 33/28-25/17-15/13;
* 1-26/25-30/17 with steps 26/25-56/33-17/15, and its inverse
* 1-26/25-33/28 with steps 26/25-17/15-56/33.
 
[[Category:33-odd-limit]]
[[Category:Essentially tempered chords]]
[[Category:Essentially tempered chords]]
[[Category:Triads]]
[[Category:Flashmic]]
[[Category:Flashmic]]

Revision as of 06:06, 7 June 2023

Flashmic chords are essentially tempered dyadic chords tempered by the flashma, 12376/12375, a comma associated with precise systems that model high-limit JI.

As an enormously complex temperament, even the simplest flashmic chords are 33-odd-limit, and there are six pairs in inverse relationship:

  • 1-28/15-33/17 with steps 28/15-26/25-34/33, and its inverse
  • 1-28/15-25/13 with steps 28/15-34/33-26/25;
  • 1-25/17-28/15 with steps 25/17-33/26-15/14, and its inverse
  • 1-33/26-28/15 with steps 33/26-25/17-15/14;
  • 1-28/25-30/17 with steps 28/25-52/33-17/15, and its inverse
  • 1-28/25-33/26 with steps 28/25-17/15-53/33;
  • 1-28/25-33/17 with steps 28/25-26/15-34/33, and its inverse
  • 1-28/25-15/13 with steps 28/25-34/33-26/15;
  • 1-33/28-34/25 with steps 33/28-15/13-25/17, and its inverse
  • 1-33/28-26/15 with steps 33/28-25/17-15/13;
  • 1-26/25-30/17 with steps 26/25-56/33-17/15, and its inverse
  • 1-26/25-33/28 with steps 26/25-17/15-56/33.